7922023200 has 864 divisors, whose sum is σ = 35010009216. Its totient is φ = 1641185280.

The previous prime is 7922023199. The next prime is 7922023211. The reversal of 7922023200 is 23202297.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70106344 + ... + 70106456.

It is an arithmetic number, because the mean of its divisors is an integer number (40520844).

Almost surely, 2^7922023200 is an apocalyptic number.

7922023200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505004608).

7922023200 is an abundant number, since it is smaller than the sum of its proper divisors (27087986016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7922023200 is a wasteful number, since it uses less digits than its factorization.

7922023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7922023200 is about 89005.7481289832. The cubic root of 7922023200 is about 1993.4807058249.

Adding to 7922023200 its reverse (23202297), we get a palindrome (7945225497).

The spelling of 7922023200 in words is "seven billion, nine hundred twenty-two million, twenty-three thousand, two hundred".